pith. sign in
Pith Number

pith:FUPMSVAA

pith:2009:FUPMSVAAB75FHWDOCJTZNKT7ZC
not attested not anchored not stored refs pending

Darboux transformation for two component derivative nonlinear Schr\"odinger equation

Liming Ling, Q. P. Liu

arxiv:0911.4802 v2 · 2009-11-25 · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FUPMSVAAB75FHWDOCJTZNKT7ZC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:10:36.861088Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2d1ec954000ffa53d86e126796aa7fc89e57a51a18c4571c127564664a16e061

Aliases

arxiv: 0911.4802 · arxiv_version: 0911.4802v2 · doi: 10.48550/arxiv.0911.4802 · pith_short_12: FUPMSVAAB75F · pith_short_16: FUPMSVAAB75FHWDO · pith_short_8: FUPMSVAA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FUPMSVAAB75FHWDOCJTZNKT7ZC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2d1ec954000ffa53d86e126796aa7fc89e57a51a18c4571c127564664a16e061
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8575dc023b68e3fd2eefd055ee3a9cc3d47b82ab3f064c12b19d8e555cf74e81",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2009-11-25T10:26:42Z",
    "title_canon_sha256": "c3e920a49db46d251243b09a3d9869b0d8ac5e0608cacacaf31a992208a5a528"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4802",
    "kind": "arxiv",
    "version": 2
  }
}